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hey , man this is the most common asked question in indian puzzle talent show dnt say that u hate some or u like some . give me replay if u got the answer dnt give me some other xyz replay about which u like and which u dnt like . dnt waste ur time by giving replay nor dnt waste my time in reading them. if it hurt u u deserves it coz ur giving replay like dat to me

A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find
out what does letter D and G represent if letter A=4

The solution is impossible to get, since you have,
Add the equations to get,
But these letters are the numbers 1,2,...,9 in some order thus,
Thus,
Then in the third equation we have that which is a violation because it cannot be more then 9.

The solution is impossible to get, since you have,
Add the equations to get,
But these letters are the numbers 1,2,...,9 in some order thus,
Thus,
Then in the third equation we have that which is a violation because it cannot be more then 9.

Perhaps the A, B, ..., I aren't all distinct? He didn't actually say that they were, but that was my first inclination as well.

Still, we have 4 conditions on 9 variables (counting the condition that all A, B,..., I are between 0 and 10 as a condition). I don't see how to solve it uniquely.

Perhaps the A, B, ..., I aren't all distinct? He didn't actually say that they were, but that was my first inclination as well.

Still, we have 4 conditions on 9 variables (counting the condition that all A, B,..., I are between 0 and 10 as a condition). I don't see how to solve it uniquely.

-Dan

Linear Algebra does not work here. Because we assume the elements are in some field. The integers do not form a field. Thus, the fact that there are 3 equations and 9 variables does not mean we cannot have a unique solution.